(CNN) -- Comedian Jay Leno's plan to hold a free concert for the jobless of Detroit, Michigan, drew criticism from a politician in the city.

A Detroit politician believes Jay Leno should change the location of his free show for the city's unemployed.

Detroit City Councilwoman Martha Reeves likes the idea, but she said the "Tonight Show" host needs to change the location.

"When I heard Jay Leno say Detroit is one of his favorite places and he's going to do a free concert for the people laid off, to people who don't have any money right now, given the economic state we're all in, I was elated," Reeves said. "Then he said Auburn Hills... and that's not Detroit."

Auburn Hills is a well-to-do suburb of Detroit, but is located in Oakland County, which has had its share of economic troubles as well.

The free comedy show -- called "Jay's Comedy Stimulus Plan" -- is set for April 7 at the Palace of Auburn Hills, which holds about 24,000 people.

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"I thought I might try to get a word to him that we have a Ford Field, we have a Cobo Hall, we have wonderful theaters here, the Fox Theater," Reeves said. "He could come and present something to Detroit as he said."

Free tickets for the show will be given out beginning Monday at 10 a.m., according to Leno's Web site.

Leno, host of NBC's Tonight Show for more than 15 years, has a new job himself. He will move from late night to a 10 p.m. show.